Question

A gas sample has a volume of 4250 mL at 15 degree Celsius and 745 mmHg. What is the final temperature, in degree Celsius, after the sample is transferred to a different container with a volume of 2.50 L and a pressure of 1.20 atm if the amount of gas does not change?

Answer 1

`T_f=-66^0C`

Step-by-step explanation:

Given;

volume=4250 mL at 15 degree C and 745 mm Hg

Formula used:

PV=nRt

`n=(P_iV_i)/(R_iT_i)`

Solution:

`P_i=745 mm Hg=(745)/(760)atm\\PV=nRt\\n=(P_iV_i)/(R_iT_i)\\ =(745*4.250)/(760*0.032*288) \\`

After transfer of ags moles of gas will remain same

`n=(P_fV_f)/(RT_f)\\(745*4.250)/(760*0.082*283)=(1.2*2.50)/(0.082*T-f)\\T_f=(1.2*2.50*760*283)/(745*4.250)\\T_f=207.38 K\\T_f=-66^0 C`